Have been on Kosciuszko but it was cca May, reminded me of some lower mountain ranges back home in central Europe. Met a guy finishing his 2 week hike up there, in fierce winds and clouds, very nice encounter.
It looked like they get their share of snow up there, but these pictures bring much more - never thought you can actually die in avalanche in Australia! Couldn't find any victims by quick googling so hopefully noone yet.
Good to remind me to start packing for the weekend snow camping in similar conditions, forecasts say up to 60cm of fresh snow so better be careful.
There is occasional avalanche incidents in Australia and sadly there were a couple of deaths on Mt Bogong a few years ago. Since then there has been a lot more awareness of the danger here.
Edit: Viewing on desktop, it's clear these are not 3 pin bindings.
A few years ago very hot dry and windy conditions created by north westerly desert air precipitated major bush fires ripping through the area, killing a few people. Fire fighting in these area is very hard, so they were essentially unstoppable.
They were stopped though - by a snow dump from an Antarctic blizzard coming in from the south.
Calling them "Alps" is a stretch though, an upward stretch.
But other than altitude, this seems to be pretty serious wilderness.
I'd also guess that, due to the extreme arid interior, Australia has less climate and ecological variation overall than the continental US, but I don't know how to quantify that to check.
The Adirondacks in the US get plenty of snow, incidentally, only being in the 4000s of feet. Height isn't the only parameter. I learned to ski at the "Big D" at Mt. Hotham. :-D
That’s not an Alp, that’s an Alp... 
Australia has more mountain-y mountains, of course, but nothing like Switzerland.
My favorites are the Hazards, down in Tasmania. They (https://www.flickr.com/photos/ceejayoz/44492848854/) and the surrounding Freycinet National Park are absolutely stunning.
Always fun to insist on pronouncing it koz-jius-ko instead of the vernacular kos-si-oh-sko